Technical Papers
Aug 9, 2024

Back-Calculation of Nonlinear Properties of Subgrade Using a New In Situ Nondestructive Testing Approach Based on Loading Sequence

Publication: International Journal of Geomechanics
Volume 24, Issue 10

Abstract

This study aims to develop a new in situ nondestructive testing (NDT) method to determine nonlinear parameters of subgrade soils and to establish a method to calculate the subgrade design modulus. The new method collects nonlinear characteristics of the subgrade by in situ test with various combinations of dynamic stress and static stress and back-calculates subgrade nonlinear parameters by machine learning algorithm. The highlight of this study is to solve the problem that the results of different test methods are not unique, and the stress-dependence characteristics of the subgrade are fully considered. The main work is as follows: (1) develop a new resilient modulus prediction model considering dynamic and static effects; (2) propose a novel in situ NDT method based on loading sequences; (3) establish a fuzzy back-propagation neural network (BPNN) algorithm to compute subgrade nonlinear parameters; and (4) propose a calculation method of subgrade design modulus based on the principle of deflection equivalence and establish an empirical equation of subgrade design modulus. The results showed that the contact stress has an enhancing effect on resilient modulus of subgrade soils. The new in situ NDT method has been proved feasible in theory and can accurately obtain the nonlinear characteristics of the subgrade.

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Data Availability Statement

The data and models that support the findings of this study are available from the corresponding author, upon reasonable request. The authors confirm that the code supporting the findings of this study is available within the article’s supplemental materials.

Acknowledgments

This work was supported by the National Key R&D Program of China (2021YFB2600900), the National Natural Science Foundation of China (52025085, 51927814).
Author contributions: Haishan Fan: software simulation, formal analysis, methodology, validation, writing—original draft. Junhui Zhang: formal analysis, funding acquisition, project administration, writing—review and editing. Jianlong Zheng: supervision.

References

AASHTO. 2021. Guide for design of pavement structures: Standard method of test for determining the resilient modulus of soils and aggregate materials. T307-99. Washington, DC: AASHTO.
Andrei, D., M. W. Witczak, C. W. Schwartz, and J. Uzan. 2004. “Harmonized resilient modulus test method for unbound pavement materials.” Transp. Res. Rec.: J. Transp. Res. Board 1874 (1): 29–37. https://doi.org/10.3141/1874-04.
Asli, C., Z.-Q. Feng, G. Porcher, and J.-J. Rincent. 2012. “Back-calculation of elastic modulus of soil and subgrade from portable falling weight deflectometer measurements.” Eng. Struct. 34: 1–7. https://doi.org/10.1016/j.engstruct.2011.10.011.
Banerjee, A., A. J. Puppala, S. S. C. Congress, S. Chakraborty, W. J. Likos, and L. R. Hoyos. 2020. “Variation of resilient modulus of subgrade soils over a wide range of suction states.” J. Geotech. Geoenviron. Eng. 146 (9): 04020096. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002332.
Burak Goktepe, A., E. Agar, and A. Hilmi Lav. 2006. “Advances in backcalculating the mechanical properties of flexible pavements.” Adv. Eng. Software 37 (7): 421–431. https://doi.org/10.1016/j.advengsoft.2005.10.001.
Camargo, R. S., W. J. Mansur, and W. G. Ferreira. 2014. “Elements and boundaries for transient diffusion problems with infinite domains.” Comput. Struct. 144: 52–61. https://doi.org/10.1016/j.compstruc.2014.07.013.
Drumm, E. C., J. S. Reeves, M. R. Madgett, and W. D. Trolinger. 1997. “Subgrade resilient modulus correction for saturation effects.” J. Geotech. Geoenviron. Eng. 123 (7): 663–670. https://doi.org/10.1061/(ASCE)1090-0241(1997)123:7(663).
Fan, H., J. Zhang, and S. Zhang. 2022a. “Dynamic response of an axisymmetric transversely isotropic medium with its modulus varying with depth subjected to LWD load.” Int. J. Pavement Eng. 24 (2): 1–15. https://doi.org/10.1080/10298436.2022.2144306.
Fan, H., J. Zhang, and J. Zheng. 2022b. “Dynamic response of a multi-layered pavement structure with subgrade modulus varying with depth subjected to a moving load.” Soil Dyn. Earthquake Eng. 160: 107358. https://doi.org/10.1016/j.soildyn.2022.107358.
Feng, X. J., J. F. Fu, and J. L. Zhang. 2012. “A new form of genetic algorithm for back-calculating pavement structure modulus based on database searching theory.” Appl. Mech. Mater. 193–194: 1090–1094. https://doi.org/10.4028/www.scientific.net/AMM.193-194.1090.
Ferreira, C. 2006. Gene expression programming: Mathematical modeling by an artificial intelligence. Amsterdam, Netherlands: Springer.
Fleming, P. R., M. W. Frost, and J. P. Lambert. 2007. “Review of lightweight deflectometer for routine in situ assessment of pavement material stiffness.” Transp. Res. Rec. J. Transp. Res. Board 2004 (1): 80–87. https://doi.org/10.3141/2004-09.
Goktepe, A. B., E. Agar, and A. H. Lav. 2006. “Role of learning algorithm in neural network-based backcalculation of flexible pavements.” J. Comput. Civ. Eng. 20 (5): 370–373. https://doi.org/10.1061/(ASCE)0887-3801(2006)20:5(370).
Gopalakrishnan, K. 2010. “Neural network–swarm intelligence hybrid nonlinear optimization algorithm for pavement moduli back-calculation.” J. Transp. Eng. 136 (6): 528–536. https://doi.org/10.1061/(ASCE)TE.1943-5436.0000128.
Grasmick, J. G., M. A. Mooney, C. T. Senseney, R. W. Surdahl, and M. Voth. 2015. “Comparison of multiple sensor deflection data from lightweight and falling weight deflectometer tests on layered soil.” Geotech. Test. J. 38 (6): 20140172. https://doi.org/10.1520/GTJ20140172.
Guzzarlapudi, S. D., V. K. Adigopula, and R. Kumar. 2016. “Comparative studies of lightweight deflectometer and Benkelman beam deflectometer in low volume roads.” J. Traffic Transp. Eng. (English Ed.) 3 (5): 438–447. https://doi.org/10.1016/j.jtte.2016.09.005.
Guzzarlapudi, S. D., V. K. R. Thummaluru, and R. Kumar. 2023. “Selection of suitable backcalculation technique and prediction of laboratory resilient modulus from NDT devices.” Int. J. Pavement Eng. 24 (2): 2103130. https://doi.org/10.1080/10298436.2022.2103130.
Le, L. T., H. Nguyen, J. Dou, and J. Zhou. 2019. “A comparative study of PSO-ANN, GA-ANN, ICA-ANN, and ABC-ANN in estimating the heating load of buildings’ energy efficiency for smart city planning.” Appl. Sci. 9 (13): 2630. https://doi.org/10.3390/app9132630.
Li, M., and H. Wang. 2019. “Development of ANN-GA program for backcalculation of pavement moduli under FWD testing with viscoelastic and nonlinear parameters.” Int. J. Pavement Eng. 20 (4): 490–498. https://doi.org/10.1080/10298436.2017.1309197.
Li, M., H. Wang, G. Xu, and P. Xie. 2017. “Finite element modeling and parametric analysis of viscoelastic and nonlinear pavement responses under dynamic FWD loading.” Constr. Build. Mater. 141: 23–35. https://doi.org/10.1016/j.conbuildmat.2017.02.096.
Liu, H., C. Chen, H. Tian, and Y. Li. 2012. “A hybrid model for wind speed prediction using empirical mode decomposition and artificial neural networks.” Renewable Energy 48: 545–556. https://doi.org/10.1016/j.renene.2012.06.012.
Liu, K., M. S. Alam, J. Zhu, J. Zheng, and L. Chi. 2021. “Prediction of carbonation depth for recycled aggregate concrete using ANN hybridized with swarm intelligence algorithms.” Constr. Build. Mater. 301: 124382. https://doi.org/10.1016/j.conbuildmat.2021.124382.
Mohammadi, V., N. Solatifar, and A. Eslami Haghighat. 2019. Comparison of AASHTO T 307 and NCHRP 1-28A methods for determination of soil resilient modulus. Department of Civil Engineering, Urmia University, Urmia, Iran.
Ng, C. W. W., C. Zhou, Q. Yuan, and J. Xu. 2013. “Resilient modulus of unsaturated subgrade soil: Experimental and theoretical investigations.” Can. Geotech. J. 50 (2): 223–232. https://doi.org/10.1139/cgj-2012-0052.
Peng, J., J. Zhang, J. Li, Y. Yao, and A. Zhang. 2020. “Modeling humidity and stress-dependent subgrade soils in flexible pavements.” Comput. Geotech. 120: 103413. https://doi.org/10.1016/j.compgeo.2019.103413.
Pospisil, K., P. Zednik, and J. Stryk. 2014. “Relationship between deformation moduli obtained using light falling weight deflectometer and static plate test on various types of soil.” Balt. J. Road Bridge Eng. 9 (4): 251–259. https://doi.org/10.3846/bjrbe.2014.31.
RIOHMOT (Research Institute of Highway Ministry of Transport). 2020. Test methods of soils for highway engineering: Standard method of test for determining the resilient modulus of soils and aggregate Materia1s. T0194-2019. Beijing: Ministry of Transport of the People’s Republic of China.
Saltan, M., M. Tığdemir, and M. Karaşahin. 2002. “Artificial neural network application for flexible pavement thickness modeling.” Turk. J. Eng. Environ. Sci. 26 (3): 243–248.
Seed, H., F. Mitry, C. Monismith, and C. Chan. 1967. Prediction of flexible pavement deflections from laboratory repeated-load tests. NCHRP Rep. Washington, DC: Transportation Research Board.
Shariati, M., M. S. Mafipour, P. Mehrabi, A. Bahadori, Y. Zandi, M. N. A. Salih, H. Nguyen, J. Dou, X. Song, and S. Poi-Ngian. 2019. “Application of a hybrid artificial neural network-particle swarm optimization (ANN-PSO) model in behavior prediction of channel shear connectors embedded in normal and high-strength concrete.” Appl. Sci. 9 (24): 5534. https://doi.org/10.3390/app9245534.
Sollazzo, G., T. F. Fwa, and G. Bosurgi. 2017. “An ANN model to correlate roughness and structural performance in asphalt pavements.” Constr. Build. Mater. 134: 684–693. https://doi.org/10.1016/j.conbuildmat.2016.12.186.
Su, J., and Y. Wang. 2013. “Equivalent dynamic infinite element for soil–structure interaction.” Finite Elem. Anal. Des. 63: 1–7. https://doi.org/10.1016/j.finel.2012.08.006.
Sun, X., J. Han, and R. Corey. 2017. “Equivalent modulus of geogrid-stabilized granular base back-calculated using permanent deformation.” J. Geotech. Geoenviron. Eng. 143 (9): 06017012. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001761.
Tarefder, R. A., S. Ahsan, and M. U. Ahmed. 2015. “Neural network–based thickness determination model to improve backcalculation of layer moduli without coring.” Int. J. Geomech. 15 (3): 04014058. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000407.
Varma, S., and M. Emin Kutay. 2016. “Backcalculation of viscoelastic and nonlinear flexible pavement layer properties from falling weight deflections.” Int. J. Pavement Eng. 17 (5): 388–402. https://doi.org/10.1080/10298436.2014.993196.
Vennapusa, P. K. R., D. J. White, J. Siekmeier, and R. A. Embacher. 2012. “In situ mechanistic characterisations of granular pavement foundation layers.” Int. J. Pavement Eng. 13 (1): 52–67. https://doi.org/10.1080/10298436.2011.564281.
Wang, H., and I. L. Al-Qadi. 2013. “Importance of nonlinear anisotropic modeling of granular base for predicting maximum viscoelastic pavement responses under moving vehicular loading.” J. Eng. Mech. 139 (1): 29–38. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000465.
Wang, H., P. Xie, R. Ji, and J. Gagnon. 2021. “Prediction of airfield pavement responses from surface deflections: Comparison between the traditional backcalculation approach and the ANN model.” Road Mater. Pavement Des. 22 (9): 1930–1945. https://doi.org/10.1080/14680629.2020.1733638.
Xu, B., S. R. Ranjithan, and Y. R. Kim. 2002. “New relationships between falling weight deflectometer deflections and asphalt pavement layer condition indicators.” Transp. Res. Rec. J. Transp. Res. Board 1806 (1): 48–56. https://doi.org/10.3141/1806-06.
Yao, Y., J. Qian, J. Li, A. Zhang, and J. Peng. 2019. “Calculation and control methods for equivalent resilient modulus of subgrade based on nonuniform distribution of stress.” Adv. Civ. Eng. 2019: 1–11. https://doi.org/10.1155/2019/6809510.
Yin, Z.-Y., Y.-F. Jin, S.-L. Shen, and H.-W. Huang. 2017. “An efficient optimization method for identifying parameters of soft structured clay by an enhanced genetic algorithm and elastic–viscoplastic model.” Acta Geotech. 12 (4): 849–867. https://doi.org/10.1007/s11440-016-0486-0.
Zeiada, W., S. A. Dabous, K. Hamad, R. Al-Ruzouq, and M. A. Khalil. 2020. “Machine learning for pavement performance modelling in warm climate regions.” Arab. J. Sci. Eng. 45 (5): 4091–4109. https://doi.org/10.1007/s13369-020-04398-6.
Zeng, L., L.-Y. Xiao, J.-H. Zhang, and Q.-F. Gao. 2020. “Effect of the characteristics of surface cracks on the transient saturated zones in colluvial soil slopes during rainfall.” Bull. Eng. Geol. Environ. 79 (2): 699–709. https://doi.org/10.1007/s10064-019-01584-1.
Zhang, R., T. Ren, M. A. Khan, Y. Teng, and J. Zheng. 2019. “Back-Calculation of soil modulus from PFWD based on a viscoelastic model.” Adv. Civ. Eng. 2019: 1–13. https://doi.org/10.1155/2019/1316341.
Zhang, J., H. Fan, S. Zhang, J. Liu, and J. Peng. 2020. “Back-calculation of elastic modulus of high liquid limit clay subgrades based on viscoelastic theory and multipopulation genetic algorithm.” Int. J. Geomech. 20 (10): 04020194. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001841.
Zhang, J., J. Hu, J. Peng, H. Fan, and C. Zhou. 2021b. “Prediction of resilient modulus for subgrade soils based on ANN approach.” J. Cent. South Univ. 28 (3): 898–910. https://doi.org/10.1007/s11771-021-4652-7.
Zhang, J., J. Peng, W. Liu, and W. Lu. 2021a. “Predicting resilient modulus of fine-grained subgrade soils considering relative compaction and matric suction.” Road Mater. Pavement Des 22 (3): 703–715. https://doi.org/10.1080/14680629.2019.1651756.
Zhang, J., J. Peng, L. Zeng, J. Li, and F. Li. 2021c. “Rapid estimation of resilient modulus of subgrade soils using performance-related soil properties.” Int. J. Pavement Eng. 22 (6): 732–739. https://doi.org/10.1080/10298436.2019.1643022.
Zhang, Y., S. Pu, R. Y. M. Li, and J. Zhang. 2021d. “Author correction: Microscopic and mechanical properties of undisturbed and remoulded red clay from Guiyang, China.” Sci. Rep. 11 (1): 3397. https://doi.org/10.1038/s41598-021-81993-z.
Zhang, J., H. Fan, S. Zhang, J. Liu, and J. Zheng. 2022. “Time-domain elasto-dynamic model of a transversely isotropic, layered road structure system with rigid substratum under a FWD load.” Road Mater. Pavement Des. 23 (12): 2857–2875. https://doi.org/10.1080/14680629.2021.2007164.

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Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 24Issue 10October 2024

History

Received: Dec 12, 2022
Accepted: Apr 29, 2024
Published online: Aug 9, 2024
Published in print: Oct 1, 2024
Discussion open until: Jan 9, 2025

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Ph.D. Candidate, School of Traffic and Transportation Engineering, Changsha University of Science and Technology, Changsha 410114, China. ORCID: https://orcid.org/0000-0002-5749-1942. Email: [email protected]
Professor, School of Traffic and Transportation Engineering, Changsha University of Science and Technology, Changsha 410114, China (corresponding author). ORCID: https://orcid.org/0000-0003-4199-4884. Email: [email protected]
Jianlong Zheng [email protected]
Professor, National Engineering Research Center of Highway Maintenance Technology, School of Traffic and Transportation Engineering, Changsha University of Science and Technology, Changsha 410114, China. Email: [email protected]

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